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arXiv 1611.04487hep-phhep-ex
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检测相空间中的运动学边界面:类超对称事件中的粒子质量测量

Detecting kinematic boundary surfaces in phase space: particle mass measurements in SUSY-like events

Dipsikha Debnath, James S. Gainer, Can Kilic, Doojin Kim, Konstantin T. Matchev, Yuan-Pao Yang

摘要:

我们批判性地研究了经典的端点方法的粒子质量测定,专注于参数空间的困难角落,其中一些测量是不独立的,而其他的实验分辨率的不利影响。在这种情况下,质量差异可以相对较好地测量,但总体质量尺度仍然没有得到很好的约束。以标准超对称衰变链$\tilde q\to \tildeχ^0_2\to \tilde \ell \to \tilde χ^0_1$为例,证明了通过测量不变质量平方的相关三维相空间中的二维运动学边界,可以恢复对剩余质量尺度参数的敏感性。我们开发了一种算法来检测这个边界,它使用的几何属性的Voronoi曲面细分的数据,特别是,相对标准偏差(RSD)的体积的邻居为每个Voronoi细胞在曲面细分。我们提出了一个新的观察,$\barΣ$,这是平均RSD每单位面积,计算超过假设的边界。我们发现,$\barΣ$最大值的位置与新粒子质量的真实值非常相关。我们的方法代表了一维运动学端点方法的自然扩展到相关的三维不变质量相空间。

英文摘要:

We critically examine the classic endpoint method for particle mass determination, focusing on difficult corners of parameter space, where some of the measurements are not independent, while others are adversely affected by the experimental resolution. In such scenarios, mass differences can be measured relatively well, but the overall mass scale remains poorly constrained. Using the example of the standard SUSY decay chain $\tilde q\to \tildeχ^0_2\to \tilde \ell \to \tilde χ^0_1$, we demonstrate that sensitivity to the remaining mass scale parameter can be recovered by measuring the two-dimensional kinematical boundary in the relevant three-dimensional phase space of invariant masses squared. We develop an algorithm for detecting this boundary, which uses the geometric properties of the Voronoi tessellation of the data, and in particular, the relative standard deviation (RSD) of the volumes of the neighbors for each Voronoi cell in the tessellation. We propose a new observable, $\barΣ$, which is the average RSD per unit area, calculated over the hypothesized boundary. We show that the location of the $\barΣ$ maximum correlates very well with the true values of the new particle masses. Our approach represents the natural extension of the one-dimensional kinematic endpoint method to the relevant three dimensions of invariant mass phase space.

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